Conservation of energy problem help

[chexmix08]

Homework Statement

1. Consider a rod of mass 1g and length L, held in place against a vertical wall by
a cable at the opposite end as shown in the diagram. A sign of mass 10kg is also
hanging o the end of the rod furthest from the wall. The angles marked are 30 degrees
and 45 degrees .
(a) (10 points) Find the tension in the cable. (Hint: Is the mass of the rod negligible
here? Then clearly mark your pivot point and start summing your
torques.) If the cable has a breaking point of 1000N, will it hold?
(b) (10 points) Find the normal force from the wall on the rod and explain
whether or not there must also be friction between the wall and the rod in
this particular problem. If so, give the magnitude and direction of the friction
force required. (Hint: you will need to draw a diagram and sum the forces.)

Homework Equations

The Attempt at a Solution

- the rod has a mass of 1kg
er 1g
hm i guess its negilible
so sign is 1kg, its 1L away from the pivot point
torque is force times distance
is torque caused by the rod is 1kg*1L*10m/s^2

I'm not really sure how to figure this out, but that is how far I got

 

[grzz]

diagram?

 

[chexmix08]

here's the attached diagram

 

[grzz]

Is the rod of MASS = 1 gram or has WEIGHT = 1 x g = 10N where acc due to gravity is taken as 10m/s^2?

To find the tension it is best to find moments about the pivot so that forces at the pivot will not enter the equation.

 

[chexmix08]

i still don't understand...

 

[grzz]

Do you know how to find moment of a force about a point?

 

[grzz]

I think you know.
Moment =torque

 

[chexmix08]

no i don't what does that mean

 

[chexmix08]

how do find the tension the cable

 

[grzz]

torque of a force about a point = force x perpendicular distance of line of action of force from the the given point.

hence

torque of 100N from point of attachment of cable with wall = 100 x L sin45.

What is the torque of the weight of the rod, 10N with the same point of attachment?

 

[chexmix08]

so if i do 1000Nsin45 will that be correct

 

[grzz]

Some help so that you can try to correct your last post:

As I told you before

torque of a force about a point = force x perpendicular distance of line of action of force from the the given point

therefore torque of weight of rod about point point of attachment of cable with wall =
weight x perp dist of line of action of W with point of ...
= 100 x ...